Find the Reference Angle -(7pi)/4

Problem

−(7*π)/4

Solution

1. Find a coterminal angle in the standard interval [0,2*π] by adding 2*π to the given angle.

−(7*π)/4+2*π=−(7*π)/4+(8*π)/4

θ=π/4

2. Identify the quadrant where the angle π/4 terminates. Since 0<π/4<π/2 the angle is in Quadrant I.

3. Determine the reference angle θ′ For an angle in Quadrant I, the reference angle is equal to the angle itself.

θ′=θ

θ′=π/4

Final Answer

Reference Angle of −(7*π)/4=π/4

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